Gravitational aspects of a new bumblebee black hole

TL;DR

This paper explores the physical implications of a new black hole solution in bumblebee gravity, analyzing particle trajectories, shadows, perturbations, and gravitational lensing to understand Lorentz violation effects.

Contribution

It introduces a detailed analysis of a recently proposed bumblebee black hole, including geodesics, shadows, quasinormal modes, and observational bounds on Lorentz violation.

Findings

Photon sphere and shadow radius are computed and compared with other models.

Effective potentials for various perturbations are derived, enabling quasinormal mode calculations.

Bounds on Lorentz-violating parameters are established from Solar System experiments.

Abstract

In this paper, we examine the physical consequences of a recently introduced black hole solution in bumblebee gravity [1]. The geometry is first presented and then reformulated through suitable coordinate adjustments, which make its global conical character evident. We then study the propagation of particles by solving the geodesic equations for null and timelike trajectories. The associated critical orbits (or photon spheres) are obtained, and shadow radius are computed and compared with other Lorentz-violating configurations in bumblebee and Kalb-Ramond models, including their charged and cosmological extensions. Massive particle motion is analyzed separately, followed by the construction of the effective potentials for scalar, vector, tensor, and spinor perturbations. These potentials allow the calculations of quasinormal frequencies and the corresponding time-domain evolution. Gravitational lensing phenomena are investigated in the weak and strong deflection regimes, and the light-travel time delay is also evaluated. The study concludes with bounds on the Lorentz-violating parameter based on classical Solar System experiments.